Divide the polynomial \$ 3x^3 - 5x^2 + 2x - 4\$ by \$ x - 2\$.

A) \$ 3x^2 + x + 4 + 4/ (x - 2 )\$

B) \$ 3x^2 + 2x + 4 - 4/ (x - 2 )\$

C) \$ 3x^2 + 5x + 2 + 4/ (x - 2 )\$

D) \$ 3x^2 + x + 4 + 2/ (x + 2 )\$

Let’s divide \$(4x^4 − 7x^3 + 2x^2 − 5x + 3) \$ by stem;[(x^2 − 3x + 2)].

A) \$ 4x^2 - 7x + 5 - (12x - 15)/( x^2 - 3x + 2) \$

B) \$ 4x^2 + 5x + 9 + (12x - 15)/( x^2 - 3x + 2) \$

C) \$ 4x^2 + 5x + 9 + (11x + 21)/( x^2 - 3x + 2) \$

D) \$ 4x^2 + 5x + 9 - (12x - 15)/( x^2 + 3x - 2) \$

Which of the following is equivalent to \$ (4x^4 − 3x^3 + 2x^2 + 5x − 1)/ (x + 2)\$.

A) \$ 3x^3 - 12x^2 + 24x - 34 + 85/(x + 2) \$

B) \$ 4x^3 - 11x^2 + 24x - 43 + 85/(x - 2) \$

C) \$ 4x^3 - 11x^2 + 24x - 43 + 85/(x + 2) \$

D) \$ 4x^3 - 11x^2 + 24x - 43 + 15/(x + 2) \$

\$(8x^2 + 10x + 2)/(4x + 1)\$
If ax + b represents the Quotient of the expression shown, then what is the value of a + b?

A) 10

B) 6

C) 12

D) 4

If the polynomials f(x) are evenly divisible by x - 3 and the polynomials g(x) = f(x) + 7, what is the value of g(3)?

A) 3

B) 5

C) 10

D) 7

Let p(x) be a polynomial that is evenly divisible by \$(x+1)^2\$, and let q(x) = p(x) − 4. Find the value of q(3).

A) - 6

B) - 2

C) - 4

D) - 8

Solve the following polynomials \$(9x^3 - 6x + 7) / (x - 3)\$.

A) \$ 9x^2 + 17x + 75 + 232/(x - 3) \$

B) \$ 9x^2 + 27x + 75 + 232/(x - 3) \$

C) \$ 9x^2 + 27x + 25 + 232/(x - 3) \$

D) \$ 9x^2 + 27x + 75 + 152/(x - 3) \$

Let p(x) be a polynomial such that p(x) is evenly divisible by x + 2, and let q(x) = p(x) − 5. What is the value of q(−2)?

A) - 5

B) - 8

C) - 3

D) - 9

Let’s divide \$( 4x^3 + 12x^2 − 15x + 13) \$ by \$(x - 6)\$.

A) \$ 4x^2 + 16x + 201 + 1219/(x - 6) \$

B) \$ 4x^2 + 36x + 201 + 1219/(x - 6) \$

C) \$ 4x^2 + 36x + 201 + 1219/(x - 6) \$

D) \$ 4x^2 + 36x + 201 + 1219/(x - 6) \$

\$(6x^2 + 17x + 12)/(3x + 1)\$
If ax + b represents the Quotient of the expression shown, then what is the value of a + b?

A) 4

B) 9

C) 7

D) 5